{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:WL3X6HGPYDROVD43PIUY3DYIDZ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"08d0ea9d98dd6f1dd60751f1d1b76b8cbb6b76a95cb5a9b17db8275cc6461c04","cross_cats_sorted":["hep-lat"],"license":"","primary_cat":"hep-ph","submitted_at":"1996-01-29T22:17:44Z","title_canon_sha256":"88217f5e5c9ae1a04ff4efb310fa394af240bb8618dd33e463e894bb54dd1e8a"},"schema_version":"1.0","source":{"id":"hep-ph/9601361","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9601361","created_at":"2026-07-04T16:01:28Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9601361v1","created_at":"2026-07-04T16:01:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9601361","created_at":"2026-07-04T16:01:28Z"},{"alias_kind":"pith_short_12","alias_value":"WL3X6HGPYDRO","created_at":"2026-07-04T16:01:28Z"},{"alias_kind":"pith_short_16","alias_value":"WL3X6HGPYDROVD43","created_at":"2026-07-04T16:01:28Z"},{"alias_kind":"pith_short_8","alias_value":"WL3X6HGP","created_at":"2026-07-04T16:01:28Z"}],"graph_snapshots":[{"event_id":"sha256:e3ce8fdf0de04791241b5f05cc223846bdaa404b4c35c83f56b40de0531af6c4","target":"graph","created_at":"2026-07-04T16:01:28Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-ph/9601361/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We discuss the global symmetries of the high temperature phase of QCD with $N_f$ massless quarks. We show that the $U(N_f) \\times U(N_f)$ symmetries are only violated by operators of dimension $\\geq 3 N_f$. For $N_f > 2$ this implies that the thermal two-point correlation functions of the $\\eta'$ and $\\pi^a$'s are identical. We discuss the implications of this for the chiral phase transition at finite temperature.","authors_text":"M. Schwetz (Yale University), N. Evans, S.D.H. Hsu","cross_cats":["hep-lat"],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"1996-01-29T22:17:44Z","title":"Topological Charge and $U(1)_A$ Symmetry in the High Temperature Phase of QCD"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9601361","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:87f328336cc676812a43106e6f3aab74d6bd3ff0092dfc7bc0782e38e9ebcb4b","target":"record","created_at":"2026-07-04T16:01:28Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"08d0ea9d98dd6f1dd60751f1d1b76b8cbb6b76a95cb5a9b17db8275cc6461c04","cross_cats_sorted":["hep-lat"],"license":"","primary_cat":"hep-ph","submitted_at":"1996-01-29T22:17:44Z","title_canon_sha256":"88217f5e5c9ae1a04ff4efb310fa394af240bb8618dd33e463e894bb54dd1e8a"},"schema_version":"1.0","source":{"id":"hep-ph/9601361","kind":"arxiv","version":1}},"canonical_sha256":"b2f77f1ccfc0e2ea8f9b7a298d8f081e625721cb384c01f086f319614750777c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b2f77f1ccfc0e2ea8f9b7a298d8f081e625721cb384c01f086f319614750777c","first_computed_at":"2026-07-04T16:01:28.100480Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:01:28.100480Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UuXo5/lYY2Fe1ehgeocf9ysB4STpdc+9uT0Jf5z7x5HadzkcnVjC0hzYIoM8PgFTrN8mTPwuKqsVfrFeKaD4DA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:01:28.100856Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/9601361","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:87f328336cc676812a43106e6f3aab74d6bd3ff0092dfc7bc0782e38e9ebcb4b","sha256:e3ce8fdf0de04791241b5f05cc223846bdaa404b4c35c83f56b40de0531af6c4"],"state_sha256":"a724d625278e44b3c3ea99687a83dbeb337ba04222af1c3cf04820d57d9b62fd"}